Solve the problem.
-In survey of 50 households, 25 responded that they have an HDTV television, 35 responded that they had a multimedia personal computer and 15 responded they had both. How many households had neither an HDTV
Television nor a multimedia personal computer?
A) 25
B) 35
C) 5
D) 15

Question

Quizplus · Accepted Answer

To find the number of households that had neither an HDTV nor a multimedia personal computer, we use the principle of inclusion-exclusion. The total number of households surveyed is 50. The number of households with an HDTV is 25, and with a multimedia PC is 35. However, 15 households have both. So, the number of households with either an HDTV or a multimedia PC is 25 + 35 - 15 = 45. Therefore, the number of households with neither is 50 - 45 = 5.

Solve the Problem. -In Survey of 50 Households, 25 Responded That They Have